Write an equivalent form of the exponential
expression:
(x4)3

Answer:

97.5% of American women have shoe sized less than 11.19

Step-by-step explanation:

Here, we want to use the empirical rule to find the percentage of women with shoe sizes less than 11.19

The first thing we shall do here is to find the z-score

Mathematically, that will be calculated using the formula;

z = (x-mean)/SD

z = (11.19-8.15)/1.52

z = 2

We can see that the given value is 2 standard deviation away to the right of mean

So, we want to get the percentage that is between the mean and two standard deviations away from it using the empirical rule

So according to the empirical rule

The percentage will be

100-2.35-0.15

= 100-2.5 = 97.5%

Answer: 0.2273

Step-by-step explanation:

Probability density function for uniform distribution is given by :-

[tex]f(x)=\dfrac{1}{b-a}[/tex], where x is uniformly distributed in [a,b].

Let x denotes the waiting time for this bus.

Given : The waiting time for a bus has a uniform distribution between 2 and 13 minutes.

Probability distribution function of x for interval [2,13] will be :-

[tex]f(x)=\dfrac1{13-2}=\dfrac{1}{11}[/tex]

Required probability : P(x<4.5) = [tex]\int^{4.5}_{2}f(x)\ dx[/tex]

[tex]=\int^{4.5}_{2}\dfrac1{11}\ dx\\\\=\dfrac1{11}[x]^{4.5}_{2}\\\\ = \dfrac1{11}(4.5-2)\\\\=\dfrac1{11}(2.5)\approx0.2273[/tex]

Hence, the probability that the waiting time for this bus is less than 4.5 minutes on a given day = 0.2273

Answer:

The support post positioned 23 feet far from the front of the house

Step-by-step explanation:

According to Pythagoras Theorem

(Hypotenuse)² = (Base)² + ( Perpendicular)²

We need to find Base so arranging the equation will give us

(Base)² = (Hypotenuse)² -  ( Perpendicular)²

Taking under root on both sides

Base =  √(Hypotenuse)² -  ( Perpendicular)²

Base =  √ (625 - 100)

Base = √525

Base = 23 feet

Answer:

y=2x+3

Step-by-step explanation:

Step-by-step explanation:

Part A:

The maximum point is (2.5, 2531.25). This represents that $2.5 should be decreased from the original price to achieve the most profit from t-shirt sales.

Part B:

The y-intercept is seen to be around (0, 2500). This tells us that the profit made from the original price is $2500.

Part C:

Yes. The point (25, 0) is a solution. It tells us that if we decreased the original price by $25, we would make no/zero profit.

Answer:

Step-by-step explanation:

A. The optimal decrease in price to gain the maximum profit in sale:

Meaning if you reduce the price by $2.5, you will gain the maximum profit of $2531.25

B. It represents the amount of profit without any change in the current price on the t-shirt.

By shifting and expanding the original equation [tex]y=-x^{2}\\[/tex]

[tex]y = -5(x-2.5)^{2} + 2531.25[/tex]

[tex]x = 0 => y = 2500[/tex]

C. The solution is as in part B

It represents by reducing the price of each t-shirt, there is an initial increase in profit but eventually it will drop.

Answer:

Snow

Step-by-step explanation:

Because if you think of it when snow falls not all of it makes it to the ground  while in its form

Answer:

25x

Step-by-step explanation:

Answer:

You cant find the value of x but here is the simplified version :

x+25

Answer:

15 bags

Step-by-step explanation:

Given that :

Capacity of mixer = 681 kg

Pounds per bag of cement = 100 pounds

Number of bags mixer can hold =?

Converting the capacity of mixer to pounds :

1kg = 2.205 pounds

681 kg = (681 * 2.205) pounds = 1501.605 pounds

Number of 100 pound bag of cement :

Capacity in pounds / 100 pounds

1501.605 / 100

= 15.016

= 15 bags of 100 pound cement

Answer:

24

Step-by-step explanation:

60 x 0.4 = 24 players

Answer:

answer will multiple of 6 till 5 because each 10 contain 6 so ans is 6,12,18,24,30

Answer:

f(x) = x³ + 8x² + 5x - 14

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Zeros x = 1, -2, -7

Step 2: Find Polynomial

Answer:

a) 6 + 3p

Step-by-step explanation:

Use distributive property: a*(b + c) = a*b + a*c

3(p + 2) = 3*p+ 3*2

             = 3p + 6

Answer:

b. 3p + 2

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The central limit theorem says that If a random variable X from a population has mean u and finite variance σ² , then the sampling distribution of the sample mean X~ approaches a normal distribution with mean u and variance σ²/n as the sample size n approaches infinity.

It is interesting to note that we have neither assumed that the distribution of X is continuous nor we have said anything about the shape of the distribution , whereas the limiting distribution of X is continuous and normal. Thus the distribution of the sample means  regardless of the shape of the population having a finite variance , is approximately normal with mean u and variance σ²/n .

Therefore

(standard deviation/ √sample size)²= variance / n

2/ √20

= 2/4.472

=0.44721

The sampling distribution of X` is therefore approximately normal with mean ux=u and σx =σ/n

Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n and this can be determined by finding the mean and standard deviation for the distribution of the sample means.

Given :

The mean for the distribution of the sample means is given by:

[tex]\mu_x = \mu[/tex]

[tex]\mu_x = 6.7[/tex]

The standard deviation for the distribution of the sample means is given by:

[tex]\rm \sigma_x = \dfrac{\sigma}{\sqrt{n} }[/tex]

[tex]\sigma_x = \dfrac{2}{\sqrt{20} }[/tex]

[tex]\sigma_x = 0.44721[/tex]

Yes, we estimate the standard deviation of the sampling distribution of means by using σ divided by the square root of n.

For more information, refer to the link given below:

https://brainly.com/question/17716064

Answer:

B.

Step-by-step explanation:

Answer is B.

Draw a perpendicular bisector from vertex C to segment AB .

Then use SAS to show that the two triangles formed are congruent .

Then corresponding angles to will be congruent.

Answer: 28269

Step-by-step explanation:

I used a calculator, but Callie messed up when instead of writing 120 (3*4), it should've been 1200 because u add a 0 every time you go down.

Hope this helps :)

Answer:

4

Step-by-step explanation:

40/10=4

Answer: 4

Step-by-step explanation:

40/10=4

Answer:

54 one-third acre lots

Step-by-step explanation:

24 - 6 = 18

18 ÷ 1/3  =  18 × 3 = 54

Answer: 54

Step-by-step explanation:The remaining portion to be divided into 1/3 acre lots is the difference between the number of acres owned by the farmer and the number of arces used for the entrance. This difference is

= 24 arces - 6 arces

= 18 acres

These acres is to be divided into 1/3 arce then the number of 1/3 arce loits that will be available

= 18 ÷ 1/3

= 18 × 3/1

= 54

Answer:

I believe your answer is 15.14 liters

Answer:

its root 58 ,h=√psquare + b square =√7square+3square=root58

Answer:

The next two terms are  92 and 105.

Step-by-step explanation:

79 + 13 = 92

92 + 13 = 105

Answer: 4/3 - 5

I assume you want to know the numbers in slope intercept form so... yeah

Step-by-step explanation

Answer:

The equation of the line in point-slope form is:

[tex]y+5=\:\frac{4}{3}\left(x-0\right)[/tex]

The graph is also attached below.

Step-by-step explanation:

Given

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As we are given the y-intercept = -5

Thus, the point (0, -5) represents the y-intercept.

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

In our case,

substituting m = 4/3 and the point (0, -5) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y\:-\:\left(-5\right)\:=\:\frac{4}{3}\:\left(x\:-\:0\right)[/tex]

[tex]y+5=\:\frac{4}{3}\left(x-0\right)[/tex]

Therefore, the equation of the line in point-slope form is:

[tex]y+5=\:\frac{4}{3}\left(x-0\right)[/tex]

The graph is also attached below.  

Answer:

7x-18

Step-by-step explanation:

brainlliest plz

Answer:

I think B and C

Step-by-step explanation:

Sorry if I got rong but..

hopes it helps

Answer:

Step-by-step explanation:

3.2

Answer:

180; both plans would cost $82.20

Step-by-step explanation:

48+.19x=57+.14x

x=180

48+.19(180)=82.2

57+.14(180)=82.2

Answer:

Concept: Math Analysis

Answer:

[tex]area = length \: \times \: width \\ = \frac{11}{2} \times \frac{3}{4} \\ = \frac{(11 \times 3)}{(2 \times 4)} \\ = \frac{33}{8} \\ area = 4.125 \: {m}^{2} \\ or \\ area = 4 \frac{1}{8} \: {m}^{2} [/tex]